A note on functional equations for zeta functions with values in Chow motives
Algebraic Geometry
2007-05-23 v1
Abstract
We consider zeta functions with values in the Grothendieck ring of Chow motives. Investigating the lambda-structure of this ring, we deduce a functional equation for the zeta function of abelian varieties. Furthermore, we show that the property of having a rational zeta function satisfying a functional equation is preserved under products.
Cite
@article{arxiv.math/0512237,
title = {A note on functional equations for zeta functions with values in Chow motives},
author = {Franziska Heinloth},
journal= {arXiv preprint arXiv:math/0512237},
year = {2007}
}